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Simplifying 3(m + 4) + 2(5m + 6) = 0 Reorder the terms: 3(4 + m) + 2(5m + 6) = 0 (4 * 3 + m * 3) + 2(5m + 6) = 0 (12 + 3m) + 2(5m + 6) = 0 Reorder the terms: 12 + 3m + 2(6 + 5m) = 0 12 + 3m + (6 * 2 + 5m * 2) = 0 12 + 3m + (12 + 10m) = 0 Reorder the terms: 12 + 12 + 3m + 10m = 0 Combine like terms: 12 + 12 = 24 24 + 3m + 10m = 0 Combine like terms: 3m + 10m = 13m 24 + 13m = 0 Solving 24 + 13m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 13m = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 13m = 0 + -24 13m = 0 + -24 Combine like terms: 0 + -24 = -24 13m = -24 Divide each side by '13'. m = -1.846153846 Simplifying m = -1.846153846
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